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Interaction of narrow solitons with point defects in nonlinear lattices

M. T. PRIMATAROWA1,* , R. S. KAMBUROVA1, K. T. STOYCHEV1

Affiliation

  1. Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria

Abstract

We study the interaction of discrete (narrow) solitons with impurities in the integrable Ablowitz-Ladik lattice model. Analytical solutions are obtained for bright and dark solitons bound to the defect. On-site and inter-site (bond) defects are considered. A comparison with the standard discrete nonlinear Schrödinger equation is made. Scattering of the discrete solitons from point defects of different types is studied numerically. The model plays an important role in numerous physical systems, especially when the corresponding elementary excitations obey Pauli statistics..

Keywords

Discrete solitons, Nonlinear lattices, Ablowitz-Ladik equation, Soliton-impurity-interaction.

Submitted at: Nov. 5, 2008
Accepted at: Oct. 3, 2009

Citation

M. T. PRIMATAROWA, R. S. KAMBUROVA, K. T. STOYCHEV, Interaction of narrow solitons with point defects in nonlinear lattices, Journal of Optoelectronics and Advanced Materials Vol. 11, Iss. 10, pp. 1388-1391 (2009)